Answer:
y int is 6
the slope is -5
Step-by-step explanation:
you write the equation out to slope intercept form, which is y=-5x+6
-5 is the slope because thats the transformation x goes through
6 is the constant which is the y intercept
Determine which expression is equivalent to 15a + 6. (5 points)
a
3(5a + 6)
b
3(5a + 2)
c
5(3a + 6)
d
5(3a + 2)
Question 2 (5 points)
(03.01 LC)
Excellence Middle School charges $6.25 for students from all grade levels to attend the school dance. If s represents the number of seventh grade students who came to the dance and g represents the number of eighth grade students at the dance, which expression best represents the total money collected for attending the dance. (5 points)
a
6.25s + g
b
6.25(s + g)
c
13.50(s + g)
d
13.50s + g
Question 3 (5 points)
(03.01 LC)
Ken and Paul have been mowing lawns to earn extra money. Their jobs earn $65 per week. Ken worked for x weeks and earned an extra $18. Paul worked for y weeks. From the expressions below, select one that determines the total amount that Ken and Paul earned mowing lawns. ? (5 points)
a
83x + 65y
b
65x − 18 + 65y
c
60x + 83y
d
65x + 18 + 65y
Question 4 (5 points)
(03.02 MC)
Michelle and her friends wondered who had the most pop albums in their music collection. She recorded the information below:
Music Collection Survey
Name Number of Pop Albums Total Number of Albums in the collection
Michelle 33 60
Sasha 36 78
Kat 40 89
Monica 24 59
Based on the survey, which friend had the greatest percentage of pop albums? (5 points)
a
Michelle
b
Sasha
c
Kat
d
Monica
Question 5 (5 points)
(03.02 MC)
Lynne was wondering which game was more popular so she aksed her friend which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us? (5 points)
a
30
b
20
c
44.45
d
5
Question 6 (5 points)
(03.02 MC)
Hulk, Iron Man, Thor, and Captain America together clean out evil from 60 cities. Hulk cleaned up 0.25 of the cities, Iron Man cleaned up 12 of the 60 cities, Thor cleaned 35% of the cities, and Captain America cleaned up the the remaining cities. Who cleaned up the most cities? (5 points)
a
Hulk
b
Iron Man
c
Thor
d
Captain America
Question 7 (5 points)
(03.04 MC)
Solve for x: (5 points)
a
12
b
−12
c
-35
d
35
Question 8 (5 points)
(03.04 MC)
Clark Kent needs to buy some new glasses. He has $70 to spend and the glasses that he wants only costs $30. He wants to spend the remainder of his money on new capes. Each cape costs $8. Which inequality represents the number of capes he can purchase? (5 points)
a
x ≥ 5
b
x ≤ 11
c
x ≤ 5
d
x ≥ 11
Question 9 (5 points)
(03.04 LC)
Find the equation that can represent the situation if the sum of two numbers is 32. We also know that the greater number is 5 more than the smaller number. (5 points)
a
x + (x + 5) = 32
b
x − (x + 5) = 32
c
x(x + 5) = 32
d
x(x − 5) = 32
Question 10 (5 points)
(03.05 MC)
SpongeBob needs $44 to buy a new pair of rectangle pants. He has already been able to save $9 and plans to work as a cook where he can earn $7 per hour. Which inequality shows the minimum number of hours, n, that SpongeBob will have to work as a cook to earn enough to buy the rectangle pants? (5 points)
a
9 + 7n ≤ 44, so n ≤ 5
b
9 + 7n ≥ 44, so n ≥ 5
c
7n ≥ 44 + 9, so n ≥ 7.8
d
7n ≤ 44 + 9, so n ≤ 7.8
Question 11 (5 points)
(03.05 MC)
Jesse sells clothes in the Yee Haw! Western Clothing store and earns $40 per day. She earns an extra $5 for each lasso she sells. If Jesse wants to earn at least $70 per day, which inequality shows the minimum number of lasso, n, that she would need to sell? (5 points)
a
40 + 5n ≤ 70, so n ≤ 6
b
40 + 5n ≥ 70, so n ≥ 25
c
40 + 5n ≤ 70, so n ≤ 25
d
40 + 5n ≥ 70, so n ≥ 6
Question 12 (5 points)
(03.05 MC)
Defne was looking online and saw some some cakes that looked delicious. Each cake costs $10.01 and has a shipping cost of $9.96 per order. If Defne wants to spend no more than $50 for the cakes, which inequality shows the maximum number of cakes, c, Defne can buy?(5 points)
a
9.96p − 10.01p ≤ 50, so p ≤ 1
b
9.96p + 10.01p ≤ 50, so p ≤ 2
c
9.96 − 10.01p ≤ 50, so p ≤ 3
d
9.96 + 10.01p ≤ 50, so p ≤ 4
I NEED HELP (ASAP)
Answer:
1. [tex]Expression: 3(5a + 2)[/tex]
2. [tex]Total\ charges = 6.25(s+g)[/tex]
3. [tex]Total = 65x + 18 + 65y[/tex]
4. Michelle
5. 20 friends
6. Thor
8. [tex]x\leq 5[/tex]
9. [tex]x + x + 5 = 32[/tex]
10. [tex]7n + 9 \leq 44[/tex] so: [tex]n \leq 5[/tex]
11. [tex]40 + 5n \leq 70[/tex] So: [tex]n \leq 6[/tex]
12. [tex]10.01 p + 9.96 \leq 50[/tex] so [tex]p \leq 4[/tex]
Step-by-step explanation:
1. Given
[tex]Expression: 15a + 6[/tex]
Required
Determine the equivalent expression
[tex]Expression: 15a + 6[/tex]
Expand:
[tex]Expression: 3 * 5a + 3 * 2[/tex]
Factorize:
[tex]Expression: 3(5a + 2)[/tex]
Hence, the equivalent expression of the given expression is [tex]3(5a + 2)[/tex]
2.
Given
[tex]Charges = \$6.25[/tex]
s = seventh grade students
g = eight grade students
Required
Determine the total charges
First, we need to calculate the total number of charges:
[tex]Total=s+g[/tex]
[tex]Total\ charges = Charges * Total[/tex]
[tex]Total\ charges = 6.25(s+g)[/tex]
3. Given
Ken
[tex]Duration = x\ weeks[/tex]
[tex]Extra\ Earnings = \$18[/tex]
[tex]Weekly\ Earnings = \$65[/tex]
Paul
[tex]Weekly\ Earnings = \$65[/tex]
[tex]Duration = y\ weeks[/tex]
Ken's total charges is:
[tex]Weekly\ Earnings * Duration + Extra\ Earnings[/tex]
[tex]65 * x + 18[/tex]
[tex]65x + 18[/tex]
Paul's total charges is:
[tex]Weekly\ Earnings * Duration[/tex]
[tex]65 * y[/tex]
[tex]65 y[/tex]
[tex]Total = Ken + Paul[/tex]
[tex]Total = 65x + 18 + 65y[/tex]
4.
To calculate the percentage, we simply divided the number of pop albums by the total number of albums.
For Michelle.
[tex]\%Pop = \frac{33}{60} * 100\%[/tex]
[tex]\%Pop = \frac{3300\%}{60}[/tex]
[tex]\%Pop = 55\%[/tex]
For Sasha
[tex]\%Pop = \frac{36}{78} * 100\%[/tex]
[tex]\%Pop = \frac{3600\%}{78}[/tex]
[tex]\%Pop = 46.2\%[/tex]
For Kat:
[tex]\%Pop = \frac{40}{89} * 100\%[/tex]
[tex]\%Pop = \frac{4000\%}{89}[/tex]
[tex]\%Pop = 44.9\%[/tex]
For Monica:
[tex]\%Pop = \frac{24}{59} * 100\%[/tex]
[tex]\%Pop = \frac{2400\%}{59}[/tex]
[tex]\%Pop = 40.7\%[/tex]
From the calculation above, Michelle has the highest percentage of Pop music
5.
[tex]People = 80[/tex]
[tex]Fortnite = 0.55[/tex]
[tex]Among\ Us = 30\%[/tex]
Required
Determine number of friends that prefer fortnite more than among us
First, we need to calculate the number of people that prefer Fortnite.
[tex]Fortnite = 0.55 * 80[/tex]
[tex]Fortnite = 44[/tex]
Next, we need to calculate the number of people that prefer Among Us.
[tex]Among\ Us = 30\% * 80[/tex]
[tex]Among\ Us = 24[/tex]
The difference is:
[tex]Difference = 44 - 24[/tex]
[tex]Difference = 20[/tex]
Hence, 20 more people preferred Fortnite to Among Us
6.
[tex]Hulk = 0.25[/tex]
[tex]Iron\ Man = 12[/tex]
[tex]Thor = 35\%[/tex]
Captain America cleaned the rest
[tex]Total = 60[/tex]
Number of cities by each is:
[tex]Hulk = 0.25 * 60[/tex]
[tex]Hulk = 15[/tex]
[tex]Iron\ Man = 12[/tex]
[tex]Thor = 35\%[/tex]
[tex]Thor = 35\% * 60[/tex]
[tex]Thor = 21[/tex]
[tex]Captain\ America = 60 - 15 -12 - 21[/tex]
[tex]Captain\ America = 12[/tex]
By comparison, Thor cleaned the highest number of cities
7. This question is not clear
[tex]Total = \$70[/tex]
[tex]Glass = \$30[/tex]
[tex]Each\ Cape = \$8[/tex]
Let the number of cape be x.
We have that:
[tex]8 * x + 30 \leq 70[/tex]
[tex]8 x +\leq 70 - 30[/tex]
[tex]8 x +\leq 40[/tex]
[tex]x\leq 5[/tex]
9.
Let the first number be x and the second be y
[tex]x + y = 32[/tex]
[tex]y = x + 5[/tex]
Substitute x + 5 for y in the first equation
[tex]x + x + 5 = 32[/tex]
10.
[tex]Savings = \$9[/tex]
Earnings = $7 per hous
Total = $44
The inequality is:
[tex]7 * n + 9 \leq 44[/tex]
[tex]7n + 9 \leq 44[/tex]
[tex]7n \leq 44 - 9[/tex]
[tex]7n \leq 35[/tex]
[tex]n \leq 5[/tex]
11.
Earnings = $40
Extra = $5 per lasso
Total Earnings = At least $70 daily
The inequality is:
[tex]40 + 5n \leq 70[/tex]
[tex]5n \leq 70 - 40[/tex]
[tex]5n \leq 30[/tex]
[tex]n \leq 6[/tex]
12.
[tex]Each\ Cake = \$0.01[/tex]
[tex]Shipping = \$9.96[/tex] per order
[tex]Available = \$50[/tex] --- maximum
The inequality is:
[tex]10.01 * p + 9.96 \leq 50[/tex]
[tex]10.01 p + 9.96 \leq 50[/tex]
[tex]10.01 p \leq 50 - 9.96[/tex]
[tex]10.01 p \leq 40.04[/tex]
[tex]p \leq 4[/tex]
-2(+7)-3(4- 2x).
Help I will give you brainliest who does it first
Answer:
-2(+7)-3(4-2x) simplified = −26+6x
Step-by-step explanation:
need help asap!!!!!!
Answer: x=4
Step-by-step explanation: first you should write it out like it is telling you. put a line and EG is the line and f is in the middle of the two looks kinda like this E F G but they are on a line EG= 25 that means the whole thing equals 25. EF= 2x-6 and FG= 4x+7. when you plug that in it should look like this 25=2x-6+4x+7 then solve.
The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Identify the constant of proportionality and write an equation for the proportional relationship.
A: k=3; y=3x
B: k=2; y=2x
C: k=4; y=4x
D: k=7; y=7x
Answer:
its B.
Step-by-step explanation:
all you have to do is y divided by x to find the constant of proportionality
so it would be two y=2x
A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
How many hours did the plumber work at your house?
1 +1 = ???????????????????????????
Answer:
IT 2
Step-by-step explanation:
Write in statement form 3x-5=1
Answer:
answer =2
Step-by-step explanation:
x=2
mark it as brainliest and follow me
is either is either x equals 20 or x equals 12 the solution to X -8 = 4
Answer:
12
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
You add 4 and 8 together and get 12
Have a great day
What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 true
Answer:
-7.5
Step-by-step explanation:
Answer:
What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 TRUE? Show your work.
Step-by-step explanation:
The baileys spent $18.00 for 4 two-liters sodas for the birthday party this weekend. What is the number of soda bottles that could be bought for $45.00?
Answer:
lol
Step-by-step explanation:
lol
The equation F= 9/5C +32 relates temperature measured in degrees Celsius. C, to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.
Given:
The equation is
[tex]F=\dfrac{9}{5}C+32[/tex]
To find:
Whether there is a proportional relationship between C and F.
Solution:
If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).
Put F=0 and C=0 in the given equation.
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is not true because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
Answer:
korrect
Step-by-step explanation:
it looks right
50 POINTS PLS HELP!!!!
Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?
A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.
C: A segment in the image has the same length as its corresponding segment in the pre-image.
D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.
Answer:
Answer choice C.
Step-by-step explanation:
solve for x: 2(x+2)-4x+8
Help please and thank you
Answer:
1. 22
2. 8
3. 31
4. 20
5. 38
6. 22
7. 26
8. 16
9. 14
10. 28
Step-by-step explanation:
USE PEMDAS
P: Parantheses
E: exponents
D: division
A: addition
S: subtraction
and ywww
The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)
Answer:
The value is [tex]E(X) = \$ 421.6[/tex]
Step-by-step explanation:
From the question we are told that
The probability that a 22 year old female in US will die within one year is p= 0.00044
The outcome if she dies within one year is that the company losses $30,000
Generally the probability that a 22 year old female in US will live more than one year is
[tex]q = 1 -p[/tex]
=> [tex]q = 1 -0.00044[/tex]
=> [tex]q = 0.99956[/tex]
The outcome if she lives more than one year is that the company gains $435
Generally the the company's expectation is mathematically represented as
[tex]E(X) = -30000 * p + 435 * q[/tex]
The negative sign shows that the company is loosing the fund
So
[tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]
=> [tex]E(X) = \$ 421.6[/tex]
In the diagram, lines m and n are parallel. What is the measure of w?
Answer:
35 degrees
Pleaase seek help u need to be smarter than this giv me brainilest
How many buckets of balls does the golf course need to sell
if 10 course packages are sold?
If 10 course packages are sold, the golf course must sell
buckets of balls.
Check
爷爷，圣诞节快到了，但是我不想要任何礼物，只有你活着，呼吸和健康。那是我的圣诞愿望
Please help answer this question will give brainlst if your correct :)
A line passes throught the origin (-1, 1) and (4, n). Find the value of n. enter the correct answer in the box. I'd say (4, -2)
If I'm wrong sorry. If I'm correct May I Have Brainliest? <3
a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim
Answer:
3.5 km
Step-by-step explanation:
its 10.5 divided by 3 to get this answer
plz give me brainliest i need it plz
Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone.
Answer:
Step-by-step explanation:
There are several possible outcomes. If your cross section is created by intersecting the cone with a plane parallel to the base of the cone, the cross section is a circle. If the plane is held vertical, the cross section could be a hyperbola. If the intersecting plane is neither vertical nor horizontal, the cross section could be an ellipse.
What is the length of side s of the square shown below?
45°
6
S
90°
A. 2.
B. 6
C. 3
D. 5.2
E. 3.2
F. .6
Answer:
It is actually 3 sqrt2
Step-by-step explanation:
Here, the length of side s of the given square is 3√2.
What is Pythagorean Theorem?According to the Pythagorean Theorem, the square's area on the hypotenuse side is equal to the sum of the squares' areas on the other two sides.
How to solve it?Here, we have to find the length of the side of the triangle inside the square with hypotenuse 6.
Let us assume that the length of the side of the triangle be x.
Using the Pythagorean Theorem,
x² + x² = 6²
i.e. 2x² = 36
i.e. x² = 36/2 = 18 = 2 * 3 * 3
i.e. x = 3√2
Therefore the length of side s of the given square is 3√2. So, option E is correct.
Learn more about the Pythagorean Theorem here -
https://brainly.com/question/9222281
#SPJ2
which equation represents a proportional relationship?
Answer:
y = 1 - 1/3x
Step-by-step explanation:
Determine if biconditional is true.
A) Felipe is a swimmer if and only if he is an athlete.
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answer:
11118 people voted
Step-by-step explanation:
Given
[tex]Eligible\ Voters = 21800[/tex]
[tex]Registered\ Voters = 85\%[/tex]
[tex]Voted\ Voters = 60\%[/tex]
Required
Determine the number of voters
First, we need to determine the number of registered voters.
[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]
[tex]Number = 85\% * 21800[/tex]
[tex]Number = 18530[/tex]
Next, we determine the actual voters using
[tex]Voters = \%Voters * 18530[/tex]
[tex]Voters = 60\% * 18530[/tex]
[tex]Voters = 11118[/tex]
Hence, 11118 people voted
I can identify and use inverses to solve equations with one variable
Answer:
[tex] \boxed{ y = 10000}[/tex]
Step-by-step explanation:
[tex] \boxed{question \: 1.} \\ log(y) + 100 = 104 \\ log(y) = 104 - 100 \\ log(y) = 4 \\ but \: log(x) = log_{10}(x) \to \\ log_{10}(y) = 4 \\ y = 10 {}^{4} \\ \boxed{ y = 10000}[/tex]
♨Rage♨
what is the unit rate of 36 kg in 30 weeks. how many kg per week?
Answer:
1.2 kg
Step-by-step explanation:
30/30=1 + 6/30=1/5 = 1 1/5=1.2
Answer:
12 kg
Step-by-step explanation:
36/30 = 6/5 = 1.2 kg
Thus, 1.2 kg per week
7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements
Answer:
w=14
Step-by-step explanation:
-8(w + 1) = -5(w + 10)
Remove the parentheses
-8w-8+-5w-50
Move terms
-8w+5w=-50+8
Collect like terms and calculate
-3w=-42
Then divide on both sides
What is the length of AC?
Solve the following equations for x.
kx - b=3d + 7b
Answer:
x= 3d/k +8b/k i think
Step-by-step explanation:
Helpppp please.........
Answer:
C, 12 and 24
Step-by-step explanation:
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6
Factors of 24
List of positive integer factors of 24 that divides 12 without a remainder.
1, 2, 3, 4, 6, 8, 12
